If this is an expensive piece of kit and you seriously want it back working (and both of those seem to be the case), then the first thing I'd do is replace every electrolytic capacitor. When the more complicated parts such as multiplexers, Op-AMP's, CPU's etc have issues, you usually loose an entire channel or the entire device is dead. Distortion means it's working, but something is outside the specs. On really old valve radios, this could also be a resistor drift issue, but not here, the only thing that goes bad are the electrolytics.
Bryce.